12551360984100 has 81 divisors (see below), whose sum is σ = 39341876850003. Its totient is φ = 3347001253440.

The previous prime is 12551360984093. The next prime is 12551360984137. The reversal of 12551360984100 is 148906315521.

It is a happy number.

The square root of 12551360984100 is 3542790.

It is a perfect power (a square), and thus also a powerful number.

12551360984100 is a `hidden beast` number, since 1 + 2 + 5 + 513 + 6 + 0 + 98 + 41 + 0 + 0 = 666.

12551360984100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6454333329444 + 6097027654656 = 2540538^2 + 2469216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106224654 + ... + 106342746.

Almost surely, 2^{12551360984100} is an apocalyptic number.

12551360984100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12551360984100 is the 3542790-th square number.

It is an amenable number.

12551360984100 is an abundant number, since it is smaller than the sum of its proper divisors (26790515865903).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12551360984100 is an frugal number, since it uses more digits than its factorization.

12551360984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236206 (or 118103 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12551360984100 in words is "twelve trillion, five hundred fifty-one billion, three hundred sixty million, nine hundred eighty-four thousand, one hundred".